Modeling and Analysis of Mood Dynamics in the Bipolar Spectrum

This article introduces a nonlinear ordinary differential equation model of mood dynamics for disorders on the bipolar spectrum. Motivated by biopsychosocial findings, the model characterizes mood as a 2-D state corresponding to manic and depressive features, enabling the representation of most diag...

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Bibliographic Details
Published in:IEEE transactions on computational social systems 2020-12, Vol.7 (6), p.1335-1344
Main Authors: Villasanti, Hugo Gonzalez, Passino, Kevin M.
Format: Article
Language:English
Subjects:
Antidepressants
Biological system modeling
Bipolar disorder
Bipolar spectrum
Computational modeling
Depression
dynamical systems
Mathematical analysis
Mathematical model
Mathematical models
Mental depression
Mood
mood disorders
Nonlinear differential equations
Ordinary differential equations
psychology
Pyschology
Representations
stability
Two dimensional models
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Summary:This article introduces a nonlinear ordinary differential equation model of mood dynamics for disorders on the bipolar spectrum. Motivated by biopsychosocial findings, the model characterizes mood as a 2-D state corresponding to manic and depressive features, enabling the representation of most diagnoses of bipolar and depressive disorders. We perform a mathematical analysis of conditions for the mood to stabilize to euthymia and discuss its psychotherapeutic implications. Furthermore, a computational analysis applied to pharmacotherapy depicts a mechanism that results in a switch from depression to mania when the bipolar disorder was misdiagnosed as major depressive disorder, and an antidepressant is administered without a mood stabilizer. This work innovates by offering a concise representation of most features of mood disorders in existing mathematical models, providing a framework for studying dynamics in the bipolar spectrum.
ISSN:2329-924X
2329-924X
2373-7476
DOI:10.1109/TCSS.2020.3028205